288638637001 has 75 divisors (see below), whose sum is σ = 365182792373. Its totient is φ = 227966344320.

The previous prime is 288638636981. The next prime is 288638637019. The reversal of 288638637001 is 100736836882.

The square root of 288638637001 is 537251.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 12 ways, for example, as 278307947401 + 10330689600 = 527549^2 + 101640^2 .

It is not a de Polignac number, because 288638637001 - 2⁵ = 288638636969 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 288638637001.

It is not an unprimeable number, because it can be changed into a prime (288638637031) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 16978743345 + ... + 16978743361.

Almost surely, 2^288638637001 is an apocalyptic number.

288638637001 is the 537251-st square number.

288638637001 is the 268626-th centered octagonal number.

It is an amenable number.

288638637001 is a deficient number, since it is larger than the sum of its proper divisors (76544155372).

288638637001 is an frugal number, since it uses more digits than its factorization.

288638637001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 288638637001 in words is "two hundred eighty-eight billion, six hundred thirty-eight million, six hundred thirty-seven thousand, one".